Correct formula is y = kx, where k is the "constant of proportionality."
If y = 9 when x = 2, then 9 = k(2), or k = 9/2.
Then y = (9/2)x.
If x = 3, y = (9/2)(3) = 27/2 (answer)
Answer:
Option A is the correct one.
Step-by-step explanation:
If f(x) = x² then g(x) = f(4x) = (4x)² = 16x² ........ (1)
Now, for any real value of x, the g(x) is positive.
Therefore, option B and option C is not correct.
Now, from the graph given in option A, it is clear that for y = 5, x value is near ±
.
So, putting x = in the equation (1), we get g(x) = 16(0.5)² = 4 which is close to 5.
Therefore, option A is the correct one. (Answer)
Assume that the initial coordinates are (x,y) and that the dilated coordinates are (x',y').
The dilation is therefore:
(x,y) ............> (x',y')
Now, let's assume that the dilation factor is k.
Therefore:
x' = kx
y' = ky
Based on the above, all the student has to do is get the initial coordinates and the final ones and then substitute in any of the above two equations to get the value of k.
Example:
Assume an original point at (2,4) is dilated to coordinates (4,8). Find the dilation factor.
Assume the dilation coefficient is k.
(x,y) are (2,4) and (x',y') are (4,8)
Therefore:
x' = kx .........> 4 = k*2 ..........> k = 2
or:
y' = ky ..........> 8 = k*4 .........> k = 2
Based on the above, the dilation coefficient would be 2.
Hope this helps :)
This is equal to...
We want "x" so we need to isolate it using laws of exponents...
because 
![x=\sqrt[3]{8^{2}}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B8%5E%7B2%7D%7D)
because ![x^{a/b}=\sqrt[b]{x^{a}}](https://tex.z-dn.net/?f=x%5E%7Ba%2Fb%7D%3D%5Csqrt%5Bb%5D%7Bx%5E%7Ba%7D%7D)
x = 4
answer: B
The atomic mass of an atom tells us about how much the atom weighs.
Option A
<u>Step-by-step explanation:</u>
The atomic mass of an atom tells us about the weight of the atoms. An atom can be represented using the mass number denoted as A and atomic number denoted by Z. As atomic number is the number of protons present in the atom, mass number denotes the sum of protons and neutrons present in the atom.
So, the mass number will be approximately equal to the atomic mass. It can be also stated that atomic mass represents the weight of the atoms. The elements are arranged in the increasing order of their atomic mass in the periodic table.
